what is the probability of each of the following? a.Not drawing a blue chip, where probability of (drawing a blue chip) =3/8 b. Not seeing Fred tomorrow, where probability of (seeing Fred tomorrow) =2/5 c.Not going to the movies this evening, where probabilty of (going to the movies this evening)= 3/4 d. Not raining tomorrow, where probabilty of (raining tomorrow) =30%

please help:/​

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

r = 10 mm

Step-by-step explanation:

Formula of a quater circle perimeter: P = ( \(\frac{\pi }{2}\) + 2 )r

You substitute the given perimeter then you'll have something that looks like this : 35.7 = (\(\frac{\pi }{2}\)+2)r

Then you divide both sides by (\(\frac{\pi }{2}\)+2) to get the answer

Part A: The probability distribution of the random variable X, representing the number of courses taken by a randomly selected student, can be summarized as follows:

P(X = 1) = 0.06 (6%)

P(X = 2) = 0.06 (6%)

P(X = 3) = 0.12 (12%)

P(X = 4) = 0.20 (20%)

P(X = 5) = 0.41 (41%)

P(X = 6) = 0.15 (15%)

This distribution provides the probabilities associated with each possible value of X, representing the number of courses taken. It shows that the majority of students (41%) take five courses, while the least common choice is to take only one or two courses (each at 6%).

Part B: To determine the distribution of the random variable Y, representing the number of credits earned by a student, we can multiply the number of courses taken by three, as each course is worth three credits. Therefore, the distribution of Y can be described as follows:

P(Y = 3) = P(X = 1) = 0.06 (6%)

P(Y = 6) = P(X = 2) = 0.06 (6%)

P(Y = 9) = P(X = 3) = 0.12 (12%)

P(Y = 12) = P(X = 4) = 0.20 (20%)

P(Y = 15) = P(X = 5) = 0.41 (41%)

P(Y = 18) = P(X = 6) = 0.15 (15%)

In this case, the distribution of Y represents the number of credits earned, with each value multiplied by three. This distribution shows the probabilities associated with each possible value of Y, reflecting the credits obtained by completing the respective number of courses.

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The area of Coby's room is 80 square feet.

The area of a rectangle is given by the product of its length and width. Here, the length of the room is given as 10 feet and the width is given as 8 feet. Therefore, the area of the room is:

Area = Length x Width

Area = 10 feet x 8 feet

Area = 80 square feet

Hence, the area of Coby's room is 80 square feet. It is important to note that when calculating the area of a rectangle, the units of length are multiplied to obtain the unit of area. In this case, the units of length are feet, so the unit of area is square feet.

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The complete answers are:

Right angles are angles that are equal to 90 degrees.

A triangle that includes a right angle is known as a right-angled triangle.

Congruent angles are angles that are equal in size or measure. For example, the right angles in two or more right-angled triangles are congruent.

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The results suggest that the new computer control system has a statistically significant impact on improving fuel efficiency, with the average increase in miles per gallon being less than 3.

Let's calculate the t-score:

t = (2.4 - 3) / (1.8 / √100)

t = -0.6 / (1.8 / 10)

t = -0.6 / 0.18

t ≈ -3.33

Since we're testing the hypothesis that the population mean is at least 3 (greater than 3), we're performing a one-tailed test. We need to find the p-value for the t-score of -3.33 in the right tail of the t-distribution.

The p-value can be found using statistical software or a t-table. Assuming an alpha level (significance level) of 0.05, the p-value is less than 0.001 (highly unlikely to occur by chance). This indicates strong evidence against the null hypothesis.

Since the p-value is less than the significance level (α = 0.05), we reject the null hypothesis. The results suggest that the new computer control system has a statistically significant impact on improving fuel efficiency, with the average increase in miles per gallon being less than 3.

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Answer:

The blue dot is on value 3

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

Answer.

20 km.

Hope that helps...

Answer:

46.91%

Step-by-step explanation:

The first solution contains 11 * 0.25 = 2.75 L of vinegar

The second solution contains 12 * 0.67 = 8.04 L of vinegar

When mixed together, that adds up to 8.04 + 2.75 = 10.79 L of vinegar

The total volume of the combined solutions is 11 + 12 = 23 L of solution

So the new concentration is 10.79/23 ≈ 0.4691 ≈ 46.91%

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Answer:

Step-by-step explanation:

First we rewrite the expression:

 3sec (x) -2 = 1

 3 (1 / cos (x)) -2 = 1

 3 (1 / cos (x)) = 1 + 2

 3 (1 / cos (x)) = 3

 (1 / cos (x)) = 3/3

 cos (x) = 1

 x = 2 * pi * n

 on the interval [0, 2pi):

 x = 0

 Answer:

 x = 0 on the interval [0, 2pi)

You have the right idea so far, but you forgot to finish it up.

Point slope form is

y - y1 = m(x - x1)

where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then

y - y1 = m(x - x1)

y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers

OR

If you use the point (2,3), then we'd say

y - y1 = m(x - x1)

y - 3 = -1(x - 2) ..... which is another possible answer

There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.

By the way, nice work on getting the correct answer for the slope-intercept form.

Step-by-step explanation:

(0,5)and (2,3)

\( m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5\)

Brianliest please~

I got ECHA... hope it's right:)

Answer:kepler's 3rd law

Step-by-step explanation:

Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.

In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.

given

Assume that "x" represents the total quantity of flowers sold on that particular day.

Roses made up 35% of the total number of flowers, which means that:

0.35x = 42

By dividing both sides by 0.35, we can determine the value of "x":

x = 120

Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.

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To find the composite function for the given functions f(x) = 4x + 4 and g(x) = x² - 9, we need to plug in g(x) into f(x).

So, the composite function of fog is:fog(x) = f(g(x))= f(x² - 9)= 4(x² - 9) + 4= 4x² - 36 + 4= 4x² - 32.

Therefore, the composite function for the given functions is 4x² - 32.

Option D is the correct answer.

To locate the relative maximum and relative minimum, we need to find the critical numbers and the second derivative of the function given.

Let's find the critical numbers. To do this, we need to find the derivative of the given function:

f(x) = x³ - 3x² - 9x + 5f'(x) = 3x² - 6x - 9

Setting f'(x) = 0, we get:

3x² - 6x - 9 = 0

Dividing both sides by 3, we get:x² - 2x - 3 = 0

Factoring the equation, we get:x² - 3x + x - 3 = 0(x - 3)(x + 1) = 0.

Therefore, the critical numbers are x = 3 and x = -1.

Let's find the second derivative of the given function:f''(x) = 6x - 6.

Now, we can use the second derivative test to find the relative maximum and relative minimum.

If f''(x) > 0 at x = a, then the function has a relative minimum at x = a. If f''(x) < 0 at x = a, then the function has a relative maximum at x = a. If f''(x) = 0 at x = a, then the test fails and we need to use another method.

f''(3) = 6(3) - 6 = 12 > 0

Therefore, f(x) has a relative minimum at x = 3.

f''(-1) = 6(-1) - 6 = -12 < 0

Therefore, f(x) has a relative maximum at x = -1.

The relative minimum is at x = 3 and the relative maximum is at x = -1.

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To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

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In linear equation, Number of members in liberal party = 32 * 77 = 2464

What does the term "linear equation" mean?

A mathematical function where the variables only occur in the first degree, where the constants are multiplied, and where the only possible combinations are addition and subtraction.

45% Of liberals switch to the conservative party

total number of eligible votes in the country =7700

Number of members change to liberal to conservative  = 45% of 7700

                                                         = 45/100 * 7700

                                                          = 45 * 77 = 3465

32% of conservative  switch to the liberals party  = 32 % of 7700

                                                      = 32/100 * 7700

Number of members in liberal party = 32 * 77 = 2464

An equilibrium in campain contributions one for the each party among the set of contribution to the party.

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The complete question is -

in a certain county there are two political parties, liberal and conservative. it has been observed that between elections a fixed percentage, 45% of liberals switch to the conservative party and a fixed percentage, 32% of conservatives switch to the liberal party. the other voters remain in the same party. assume that there are altogether 7700 eligible voters in the county. Find the equilibrium Values for the system if any?

Answer: hose Is raled to fill Ihe pool in 10 hours erhe To fill a pool, Barb uses two hosesThe first third hose that uses {ha slower to fill it in 5 hours. If Barb adds second hose is rated "long will it take to fill the pool?

Give Brainliest! Thanks.

It will take 10/3 hours to fill the pool when both the hoses will work together.

The first hose is rated to fill the pool in 10 hours.

This means, In one hour hose will fill 1/10th part of the pool.

The second hose is rated to fill the pool in 5 hours

This means, In one hour hose will fill 1/5th part of the pool.

The total part of the pool to be filled will be 1.

Let us suppose both the hoses working together takes t hours to fill the pool

So, the first hose will fill the t/10th part of the pool.

The second hose will fill the t/5th part of the pool.

So, \(\frac{t}{10} +\frac{t}{5} =1\)

15t =50

t=10/3

Therefore, It will take 10/3 hours to fill the pool when both the hoses will work together.

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The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

a. The average acceleration in the time interval t = 0 to t = 2.0 s is -10 m/s². b. The acceleration at t = 2.0 s is -20 m/s².

a. To find the average acceleration in the time interval t = 0 to t = 2.0 seconds, we need to first find the initial and final velocities:

Initial velocity (t = 0 s):
v0x = (40 - 5(0)²) m/s = 40 m/s

Final velocity (t = 2.0 s):
v2x = (40 - 5(2)²) m/s = (40 - 5(4)) m/s = 20 m/s

Average acceleration is defined as the change in velocity divided by the change in time:
a_avg = (v2x - v0x) / (t2 - t0) = (20 m/s - 40 m/s) / (2.0 s - 0 s) = -20 m/s² / 2.0 s = -10 m/s²

b. To determine the acceleration at t = 2.0 s, we need to find the derivative of the velocity expression with respect to time (t):

v_x(t) = 40 - 5t²

Taking the derivative with respect to time:
a_x(t) = dv_x(t)/dt = -10t

Now, we can find the acceleration at t = 2.0 s:
a_x(2.0) = -10(2.0) = -20 m/s²

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Answer

7.93

Step-by-step explanation:

59.48 - 51.55 = 7.93  

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Based on the given information, this probability is equal to 1 - (P(A) + P(B) - P(A intersect B)), where A is the event that a student has an engineering background and B is the event that a student is a business school student with a social science background.

The probability that a randomly chosen Chargalot University graduate student is a business school student with a social science background is approximately 0.09375.

This was calculated using Bayes' theorem and the principle of inclusion-exclusion, given that 18% of students are in the business school, 24% have a social science background, and 37% have an engineering background, with no overlap between the latter two groups.

The probability that a randomly chosen Chargalot University graduate student is neither a business school student with an engineering background nor a business school student with a social science background can be calculated using the same tools. Based on the given information, this probability is equal to 1 - (P(A) + P(B) - P(A intersect B)), where A is the event that a student has an engineering background and B is the event that a student is a business school student with a social science background.

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Chargalot University’s Graduate School of Business reports that 37% of its students have an engineering background, and 24% have a social science background. In addition, the University’s annual report indicates that the students in its business school comprise 18% of the total graduate student population at Chargalot. Students cannot have both an engineering and a social science background. Some students have neither an engineering nor a social science background.

(a) What is the probability that a randomly chosen Chargalot University graduate student is a business school student with a social science back- ground?

(b) What is the probability that a randomly chosen Chargalot University graduate student is neither a business school student with an engineer- ing background nor a business school student with a social science back- ground?

Advantages:

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Disadvantages:

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Answer:

hold on im solving it

Step-by-step explanation: